Chapter 1.1, Problem 7E

To determine

To solve the equation

  $y-4=3$

Answer to Problem 7E

  $y=7$ is the solution.

Explanation of Solution

Given: Equation: $y-4=3$

Formula Used:

The addition property of equality states that if we add or subtract the same number to both sides of an equation, the sides remain equal.

Calculation:

Given: Equation: $y-4=3$

To solve the equation, Adding $4$ to both the sides as “Addition property of equality states that if we add or subtract the same number to both sides of an equation, the sides remain equal.”

  $\begin{array}{l}y-4=3\\ y-4+4=3+4\\ y=7\end{array}$

Thus, the solution is $y=7$ .

Now, putting the value of $y=7$ in the L.H.S. of the equation, we have:

  $7-4=3$

And R.H.S. of the equation is $3$ .

Hence, L.H.S. $=$ R.H.S.

Thus, the solution is correct.

Conclusion:

Hence, the solution is $y=7$ .